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Finding the Fourth Proportional to 1,377.90, 2,068.11 and 647.91

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Solution

The fourth proportional to 1,377.90, 2,068.11 and 647.91 is: 972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.90 : 2,068.11 = 647.91 : x
  2. Step 2: Convert to fraction form
    1,377.90/2,068.11 = 647.91/x
  3. Step 3: Cross multiply
    1,377.90x = 2,068.11 × 647.91
  4. Step 4: Simplify right side
    1,377.90x = 1,339,949.15
  5. Step 5: Solve for x
    x = 1,339,949.15/1,377.90
  6. Step 6: Final answer
    x = 972.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.